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What is the Value of 9cot2 θ − 9cosec2 θ?

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प्रश्न

What is the value of 9cot2 θ − 9cosec2 θ? 

योग
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उत्तर

We have, 

`9 cot^2 θ-9 cosec^2θ= 9(cot ^2θ-cosec^2 θ) ` 

                               =` -9(cosec ^2θ-cot θ)` 

We know that,   `cosec ^2 θ-cot ^2 θ-1` 

Therefore, 

\[9 \cot^2 \theta - 9 {cosec}^2 \theta = - 9\]

 

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अध्याय 11: Trigonometric Identities - VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) [पृष्ठ ११.४३]

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आर.डी. शर्मा Mathematics [English] Class 10
अध्याय 11 Trigonometric Identities
VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) | Q 10. | पृष्ठ ११.४३

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